(herald nhca (algebra diffie-hellman) (bound 20)) (comment "CPSA 3.6.7") (comment "All input read from tst/nh-ca.scm") (comment "Strand count bounded at 20") (defprotocol nhca diffie-hellman (defrole init (vars (xi rndx) (xr expt) (a b ca name) (n text) (hint mesg)) (trace (send (enc "reg" (hash "public" xi) a (privk a))) (recv (enc (hash "public" xi) a (privk ca))) (send (cat (hash "public" xi) (enc (hash "public" xi) a (privk ca)))) (recv (cat (hash "public" xr) hint (enc (hash "public" xr) b (privk ca)) (enc n hint (hash "key" (hash "share" xi xr) hint)))) (send (cat (enc "check" n (hash "key" (hash "share" xi xr) hint)) (enc "check" n (hash "key" (hash "share" xr xi) hint))))) (non-orig (privk a) (privk ca)) (uniq-gen xi)) (defrole resp (vars (xr rndx) (xi expt) (a b ca name) (n text)) (trace (send (enc "reg" (hash "public" xr) b (privk b))) (recv (enc (hash "public" xr) b (privk ca))) (recv (cat (hash "public" xi) (enc (hash "public" xi) a (privk ca)))) (send (cat (hash "public" xr) (hash "hint" (hash "share" xr xi)) (enc (hash "public" xr) b (privk ca)) (enc n (hash "hint" (hash "share" xr xi)) (hash "key" (hash "share" xr xi) (hash "hint" (hash "share" xr xi)))) (enc n (hash "hint" (hash "share" xr xi)) (hash "key" (hash "share" xi xr) (hash "hint" (hash "share" xr xi)))))) (recv (enc "check" n (hash "key" (hash "share" xr xi) (hash "hint" (hash "share" xr xi)))))) (non-orig (privk b) (privk ca)) (uniq-gen xr)) (defrole ca (vars (subject ca name) (x expt)) (trace (recv (enc "reg" (hash "public" x) subject (privk subject))) (send (enc (hash "public" x) subject (privk ca)))) (non-orig (privk subject))) (comment A diffie-hellman exchange which uses a certificate authority to certify lonh-term NH values)) (defskeleton nhca (vars (hint mesg) (n text) (a b ca name) (xi rndx) (xr expt)) (defstrand init 5 (hint hint) (n n) (a a) (b b) (ca ca) (xi xi) (xr xr)) (non-orig (privk a) (privk ca)) (uniq-gen xi) (comment Full initiator POV No need to make extra assumptions) (traces ((send (enc "reg" (hash "public" xi) a (privk a))) (recv (enc (hash "public" xi) a (privk ca))) (send (cat (hash "public" xi) (enc (hash "public" xi) a (privk ca)))) (recv (cat (hash "public" xr) hint (enc (hash "public" xr) b (privk ca)) (enc n hint (hash "key" (hash "share" xi xr) hint)))) (send (cat (enc "check" n (hash "key" (hash "share" xi xr) hint)) (enc "check" n (hash "key" (hash "share" xr xi) hint)))))) (label 0) (unrealized (0 1) (0 3)) (origs) (comment "1 in cohort - 1 not yet seen")) (defskeleton nhca (vars (hint mesg) (n text) (a b ca name) (xr expt) (xi rndx)) (defstrand init 5 (hint hint) (n n) (a a) (b b) (ca ca) (xi xi) (xr xr)) (defstrand ca 2 (subject a) (ca ca) (x xi)) (precedes ((0 0) (1 0)) ((1 1) (0 1))) (non-orig (privk a) (privk ca)) (uniq-gen xi) (operation encryption-test (added-strand ca 2) (enc (hash "public" xi) a (privk ca)) (0 1)) (traces ((send (enc "reg" (hash "public" xi) a (privk a))) (recv (enc (hash "public" xi) a (privk ca))) (send (cat (hash "public" xi) (enc (hash "public" xi) a (privk ca)))) (recv (cat (hash "public" xr) hint (enc (hash "public" xr) b (privk ca)) (enc n hint (hash "key" (hash "share" xi xr) hint)))) (send (cat (enc "check" n (hash "key" (hash "share" xi xr) hint)) (enc "check" n (hash "key" (hash "share" xr xi) hint))))) ((recv (enc "reg" (hash "public" xi) a (privk a))) (send (enc (hash "public" xi) a (privk ca))))) (label 1) (parent 0) (unrealized (0 3)) (comment "2 in cohort - 2 not yet seen")) (defskeleton nhca (vars (hint mesg) (n text) (a ca name) (xi rndx)) (defstrand init 5 (hint hint) (n n) (a a) (b a) (ca ca) (xi xi) (xr xi)) (defstrand ca 2 (subject a) (ca ca) (x xi)) (precedes ((0 0) (1 0)) ((1 1) (0 1))) (non-orig (privk a) (privk ca)) (uniq-gen xi) (operation encryption-test (displaced 2 1 ca 2) (enc (hash "public" x) b (privk ca)) (0 3)) (traces ((send (enc "reg" (hash "public" xi) a (privk a))) (recv (enc (hash "public" xi) a (privk ca))) (send (cat (hash "public" xi) (enc (hash "public" xi) a (privk ca)))) (recv (cat (hash "public" xi) hint (enc (hash "public" xi) a (privk ca)) (enc n hint (hash "key" (hash "share" xi xi) hint)))) (send (cat (enc "check" n (hash "key" (hash "share" xi xi) hint)) (enc "check" n (hash "key" (hash "share" xi xi) hint))))) ((recv (enc "reg" (hash "public" xi) a (privk a))) (send (enc (hash "public" xi) a (privk ca))))) (label 2) (parent 1) (unrealized (0 3)) (comment "1 in cohort - 1 not yet seen")) (defskeleton nhca (vars (hint mesg) (n text) (a b ca name) (xi rndx) (x expt)) (defstrand init 5 (hint hint) (n n) (a a) (b b) (ca ca) (xi xi) (xr x)) (defstrand ca 2 (subject a) (ca ca) (x xi)) (defstrand ca 2 (subject b) (ca ca) (x x)) (precedes ((0 0) (1 0)) ((1 1) (0 1)) ((2 1) (0 3))) (non-orig (privk a) (privk b) (privk ca)) (uniq-gen xi) (operation encryption-test (added-strand ca 2) (enc (hash "public" x) b (privk ca)) (0 3)) (traces ((send (enc "reg" (hash "public" xi) a (privk a))) (recv (enc (hash "public" xi) a (privk ca))) (send (cat (hash "public" xi) (enc (hash "public" xi) a (privk ca)))) (recv (cat (hash "public" x) hint (enc (hash "public" x) b (privk ca)) (enc n hint (hash "key" (hash "share" xi x) hint)))) (send (cat (enc "check" n (hash "key" (hash "share" xi x) hint)) (enc "check" n (hash "key" (hash "share" x xi) hint))))) ((recv (enc "reg" (hash "public" xi) a (privk a))) (send (enc (hash "public" xi) a (privk ca)))) ((recv (enc "reg" (hash "public" x) b (privk b))) (send (enc (hash "public" x) b (privk ca))))) (label 3) (parent 1) (unrealized (0 3) (2 0)) (comment "2 in cohort - 2 not yet seen")) (defskeleton nhca (vars (hint mesg) (n text) (a ca name) (xi rndx)) (defstrand init 5 (hint hint) (n n) (a a) (b a) (ca ca) (xi xi) (xr xi)) (defstrand ca 2 (subject a) (ca ca) (x xi)) (deflistener (hash "key" (hash "share" xi xi) hint)) (precedes ((0 0) (1 0)) ((0 0) (2 0)) ((1 1) (0 1)) ((2 1) (0 3))) (non-orig (privk a) (privk ca)) (uniq-gen xi) (operation encryption-test (added-listener (hash "key" (hash "share" xi xi) hint)) (enc n hint (hash "key" (hash "share" xi xi) hint)) (0 3)) (traces ((send (enc "reg" (hash "public" xi) a (privk a))) (recv (enc (hash "public" xi) a (privk ca))) (send (cat (hash "public" xi) (enc (hash "public" xi) a (privk ca)))) (recv (cat (hash "public" xi) hint (enc (hash "public" xi) a (privk ca)) (enc n hint (hash "key" (hash "share" xi xi) hint)))) (send (cat (enc "check" n (hash "key" (hash "share" xi xi) hint)) (enc "check" n (hash "key" (hash "share" xi xi) hint))))) ((recv (enc "reg" (hash "public" xi) a (privk a))) (send (enc (hash "public" xi) a (privk ca)))) ((recv (hash "key" (hash "share" xi xi) hint)) (send (hash "key" (hash "share" xi xi) hint)))) (label 4) (parent 2) (unrealized (2 0)) (comment "1 in cohort - 1 not yet seen")) (defskeleton nhca (vars (hint mesg) (n text) (a ca name) (xr rndx)) (defstrand init 5 (hint hint) (n n) (a a) (b a) (ca ca) (xi xr) (xr xr)) (defstrand ca 2 (subject a) (ca ca) (x xr)) (defstrand ca 2 (subject a) (ca ca) (x xr)) (precedes ((0 0) (1 0)) ((0 0) (2 0)) ((1 1) (0 1)) ((2 1) (0 3))) (non-orig (privk a) (privk ca)) (uniq-gen xr) (operation encryption-test (displaced 3 0 resp 1) (enc "reg" (hash "public" xr-0) b (privk b)) (2 0)) (traces ((send (enc "reg" (hash "public" xr) a (privk a))) (recv (enc (hash "public" xr) a (privk ca))) (send (cat (hash "public" xr) (enc (hash "public" xr) a (privk ca)))) (recv (cat (hash "public" xr) hint (enc (hash "public" xr) a (privk ca)) (enc n hint (hash "key" (hash "share" xr xr) hint)))) (send (cat (enc "check" n (hash "key" (hash "share" xr xr) hint)) (enc "check" n (hash "key" (hash "share" xr xr) hint))))) ((recv (enc "reg" (hash "public" xr) a (privk a))) (send (enc (hash "public" xr) a (privk ca)))) ((recv (enc "reg" (hash "public" xr) a (privk a))) (send (enc (hash "public" xr) a (privk ca))))) (label 5) (parent 3) (unrealized (0 3)) (comment "1 in cohort - 1 not yet seen")) (defskeleton nhca (vars (hint mesg) (n text) (a b ca name) (xi xr rndx)) (defstrand init 5 (hint hint) (n n) (a a) (b b) (ca ca) (xi xi) (xr xr)) (defstrand ca 2 (subject a) (ca ca) (x xi)) (defstrand ca 2 (subject b) (ca ca) (x xr)) (defstrand resp 1 (b b) (xr xr)) (precedes ((0 0) (1 0)) ((1 1) (0 1)) ((2 1) (0 3)) ((3 0) (2 0))) (non-orig (privk a) (privk b) (privk ca)) (uniq-gen xi xr) (operation encryption-test (added-strand resp 1) (enc "reg" (hash "public" xr) b (privk b)) (2 0)) (traces ((send (enc "reg" (hash "public" xi) a (privk a))) (recv (enc (hash "public" xi) a (privk ca))) (send (cat (hash "public" xi) (enc (hash "public" xi) a (privk ca)))) (recv (cat (hash "public" xr) hint (enc (hash "public" xr) b (privk ca)) (enc n hint (hash "key" (hash "share" xi xr) hint)))) (send (cat (enc "check" n (hash "key" (hash "share" xi xr) hint)) (enc "check" n (hash "key" (hash "share" xr xi) hint))))) ((recv (enc "reg" (hash "public" xi) a (privk a))) (send (enc (hash "public" xi) a (privk ca)))) ((recv (enc "reg" (hash "public" xr) b (privk b))) (send (enc (hash "public" xr) b (privk ca)))) ((send (enc "reg" (hash "public" xr) b (privk b))))) (label 6) (parent 3) (unrealized (0 3)) (comment "2 in cohort - 2 not yet seen")) (defskeleton nhca (vars (hint mesg) (n text) (a ca name) (xi rndx)) (defstrand init 5 (hint hint) (n n) (a a) (b a) (ca ca) (xi xi) (xr xi)) (defstrand ca 2 (subject a) (ca ca) (x xi)) (deflistener (hash "key" (hash "share" xi xi) hint)) (deflistener (cat "key" (hash "share" xi xi) hint)) (precedes ((0 0) (1 0)) ((0 0) (3 0)) ((1 1) (0 1)) ((2 1) (0 3)) ((3 1) (2 0))) (non-orig (privk a) (privk ca)) (uniq-gen xi) (operation encryption-test (added-listener (cat "key" (hash "share" xi xi) hint)) (hash "key" (hash "share" xi xi) hint) (2 0)) (traces ((send (enc "reg" (hash "public" xi) a (privk a))) (recv (enc (hash "public" xi) a (privk ca))) (send (cat (hash "public" xi) (enc (hash "public" xi) a (privk ca)))) (recv (cat (hash "public" xi) hint (enc (hash "public" xi) a (privk ca)) (enc n hint (hash "key" (hash "share" xi xi) hint)))) (send (cat (enc "check" n (hash "key" (hash "share" xi xi) hint)) (enc "check" n (hash "key" (hash "share" xi xi) hint))))) ((recv (enc "reg" (hash "public" xi) a (privk a))) (send (enc (hash "public" xi) a (privk ca)))) ((recv (hash "key" (hash "share" xi xi) hint)) (send (hash "key" (hash "share" xi xi) hint))) ((recv (cat "key" (hash "share" xi xi) hint)) (send (cat "key" (hash "share" xi xi) hint)))) (label 7) (parent 4) (unrealized (3 0)) (comment "1 in cohort - 1 not yet seen")) (defskeleton nhca (vars (hint mesg) (n text) (a ca name) (xr rndx)) (defstrand init 5 (hint hint) (n n) (a a) (b a) (ca ca) (xi xr) (xr xr)) (defstrand ca 2 (subject a) (ca ca) (x xr)) (defstrand ca 2 (subject a) (ca ca) (x xr)) (deflistener (hash "key" (hash "share" xr xr) hint)) (precedes ((0 0) (1 0)) ((0 0) (2 0)) ((0 0) (3 0)) ((1 1) (0 1)) ((2 1) (0 3)) ((3 1) (0 3))) (non-orig (privk a) (privk ca)) (uniq-gen xr) (operation encryption-test (added-listener (hash "key" (hash "share" xr xr) hint)) (enc n hint (hash "key" (hash "share" xr xr) hint)) (0 3)) (traces ((send (enc "reg" (hash "public" xr) a (privk a))) (recv (enc (hash "public" xr) a (privk ca))) (send (cat (hash "public" xr) (enc (hash "public" xr) a (privk ca)))) (recv (cat (hash "public" xr) hint (enc (hash "public" xr) a (privk ca)) (enc n hint (hash "key" (hash "share" xr xr) hint)))) (send (cat (enc "check" n (hash "key" (hash "share" xr xr) hint)) (enc "check" n (hash "key" (hash "share" xr xr) hint))))) ((recv (enc "reg" (hash "public" xr) a (privk a))) (send (enc (hash "public" xr) a (privk ca)))) ((recv (enc "reg" (hash "public" xr) a (privk a))) (send (enc (hash "public" xr) a (privk ca)))) ((recv (hash "key" (hash "share" xr xr) hint)) (send (hash "key" (hash "share" xr xr) hint)))) (label 8) (parent 5) (unrealized (3 0)) (comment "1 in cohort - 1 not yet seen")) (defskeleton nhca (vars (n text) (a ca a-0 b ca-0 name) (xi xr rndx)) (defstrand init 5 (hint (hash "hint" (hash "share" xr xi))) (n n) (a a) (b b) (ca ca) (xi xi) (xr xr)) (defstrand ca 2 (subject a) (ca ca) (x xi)) (defstrand ca 2 (subject b) (ca ca) (x xr)) (defstrand resp 4 (n n) (a a-0) (b b) (ca ca-0) (xr xr) (xi xi)) (precedes ((0 0) (1 0)) ((0 0) (3 2)) ((1 1) (0 1)) ((2 1) (0 3)) ((3 0) (2 0)) ((3 3) (0 3))) (non-orig (privk a) (privk ca) (privk b) (privk ca-0)) (uniq-gen xi xr) (operation encryption-test (displaced 3 4 resp 4) (enc n (hash "hint" (hash "share" xr xi)) (hash "key" (hash "share" xi xr) (hash "hint" (hash "share" xr xi)))) (0 3)) (traces ((send (enc "reg" (hash "public" xi) a (privk a))) (recv (enc (hash "public" xi) a (privk ca))) (send (cat (hash "public" xi) (enc (hash "public" xi) a (privk ca)))) (recv (cat (hash "public" xr) (hash "hint" (hash "share" xr xi)) (enc (hash "public" xr) b (privk ca)) (enc n (hash "hint" (hash "share" xr xi)) (hash "key" (hash "share" xi xr) (hash "hint" (hash "share" xr xi)))))) (send (cat (enc "check" n (hash "key" (hash "share" xi xr) (hash "hint" (hash "share" xr xi)))) (enc "check" n (hash "key" (hash "share" xr xi) (hash "hint" (hash "share" xr xi))))))) ((recv (enc "reg" (hash "public" xi) a (privk a))) (send (enc (hash "public" xi) a (privk ca)))) ((recv (enc "reg" (hash "public" xr) b (privk b))) (send (enc (hash "public" xr) b (privk ca)))) ((send (enc "reg" (hash "public" xr) b (privk b))) (recv (enc (hash "public" xr) b (privk ca-0))) (recv (cat (hash "public" xi) (enc (hash "public" xi) a-0 (privk ca-0)))) (send (cat (hash "public" xr) (hash "hint" (hash "share" xr xi)) (enc (hash "public" xr) b (privk ca-0)) (enc n (hash "hint" (hash "share" xr xi)) (hash "key" (hash "share" xr xi) (hash "hint" (hash "share" xr xi)))) (enc n (hash "hint" (hash "share" xr xi)) (hash "key" (hash "share" xi xr) (hash "hint" (hash "share" xr xi)))))))) (label 9) (parent 6) (unrealized (3 1) (3 2)) (comment "2 in cohort - 2 not yet seen")) (defskeleton nhca (vars (hint mesg) (n text) (a b ca name) (xi xr rndx)) (defstrand init 5 (hint hint) (n n) (a a) (b b) (ca ca) (xi xi) (xr xr)) (defstrand ca 2 (subject a) (ca ca) (x xi)) (defstrand ca 2 (subject b) (ca ca) (x xr)) (defstrand resp 1 (b b) (xr xr)) (deflistener (hash "key" (hash "share" xi xr) hint)) (precedes ((0 0) (1 0)) ((0 0) (4 0)) ((1 1) (0 1)) ((2 1) (0 3)) ((3 0) (2 0)) ((3 0) (4 0)) ((4 1) (0 3))) (non-orig (privk a) (privk b) (privk ca)) (uniq-gen xi xr) (operation encryption-test (added-listener (hash "key" (hash "share" xi xr) hint)) (enc n hint (hash "key" (hash "share" xi xr) hint)) (0 3)) (traces ((send (enc "reg" (hash "public" xi) a (privk a))) (recv (enc (hash "public" xi) a (privk ca))) (send (cat (hash "public" xi) (enc (hash "public" xi) a (privk ca)))) (recv (cat (hash "public" xr) hint (enc (hash "public" xr) b (privk ca)) (enc n hint (hash "key" (hash "share" xi xr) hint)))) (send (cat (enc "check" n (hash "key" (hash "share" xi xr) hint)) (enc "check" n (hash "key" (hash "share" xr xi) hint))))) ((recv (enc "reg" (hash "public" xi) a (privk a))) (send (enc (hash "public" xi) a (privk ca)))) ((recv (enc "reg" (hash "public" xr) b (privk b))) (send (enc (hash "public" xr) b (privk ca)))) ((send (enc "reg" (hash "public" xr) b (privk b)))) ((recv (hash "key" (hash "share" xi xr) hint)) (send (hash "key" (hash "share" xi xr) hint)))) (label 10) (parent 6) (unrealized (4 0)) (comment "1 in cohort - 1 not yet seen")) (defskeleton nhca (vars (hint mesg) (n text) (a ca name) (xi rndx)) (defstrand init 5 (hint hint) (n n) (a a) (b a) (ca ca) (xi xi) (xr xi)) (defstrand ca 2 (subject a) (ca ca) (x xi)) (deflistener (hash "key" (hash "share" xi xi) hint)) (deflistener (cat "key" (hash "share" xi xi) hint)) (deflistener (cat "share" xi xi)) (precedes ((0 0) (1 0)) ((0 0) (4 0)) ((1 1) (0 1)) ((2 1) (0 3)) ((3 1) (2 0)) ((4 1) (3 0))) (non-orig (privk a) (privk ca)) (uniq-gen xi) (operation encryption-test (added-listener (cat "share" xi xi)) (hash "share" xi xi) (3 0)) (traces ((send (enc "reg" (hash "public" xi) a (privk a))) (recv (enc (hash "public" xi) a (privk ca))) (send (cat (hash "public" xi) (enc (hash "public" xi) a (privk ca)))) (recv (cat (hash "public" xi) hint (enc (hash "public" xi) a (privk ca)) (enc n hint (hash "key" (hash "share" xi xi) hint)))) (send (cat (enc "check" n (hash "key" (hash "share" xi xi) hint)) (enc "check" n (hash "key" (hash "share" xi xi) hint))))) ((recv (enc "reg" (hash "public" xi) a (privk a))) (send (enc (hash "public" xi) a (privk ca)))) ((recv (hash "key" (hash "share" xi xi) hint)) (send (hash "key" (hash "share" xi xi) hint))) ((recv (cat "key" (hash "share" xi xi) hint)) (send (cat "key" (hash "share" xi xi) hint))) ((recv (cat "share" xi xi)) (send (cat "share" xi xi)))) (label 11) (parent 7) (unrealized (4 0)) (dead) (comment "empty cohort")) (defskeleton nhca (vars (hint mesg) (n text) (a ca name) (xr rndx)) (defstrand init 5 (hint hint) (n n) (a a) (b a) (ca ca) (xi xr) (xr xr)) (defstrand ca 2 (subject a) (ca ca) (x xr)) (defstrand ca 2 (subject a) (ca ca) (x xr)) (deflistener (hash "key" (hash "share" xr xr) hint)) (deflistener (cat "key" (hash "share" xr xr) hint)) (precedes ((0 0) (1 0)) ((0 0) (2 0)) ((0 0) (4 0)) ((1 1) (0 1)) ((2 1) (0 3)) ((3 1) (0 3)) ((4 1) (3 0))) (non-orig (privk a) (privk ca)) (uniq-gen xr) (operation encryption-test (added-listener (cat "key" (hash "share" xr xr) hint)) (hash "key" (hash "share" xr xr) hint) (3 0)) (traces ((send (enc "reg" (hash "public" xr) a (privk a))) (recv (enc (hash "public" xr) a (privk ca))) (send (cat (hash "public" xr) (enc (hash "public" xr) a (privk ca)))) (recv (cat (hash "public" xr) hint (enc (hash "public" xr) a (privk ca)) (enc n hint (hash "key" (hash "share" xr xr) hint)))) (send (cat (enc "check" n (hash "key" (hash "share" xr xr) hint)) (enc "check" n (hash "key" (hash "share" xr xr) hint))))) ((recv (enc "reg" (hash "public" xr) a (privk a))) (send (enc (hash "public" xr) a (privk ca)))) ((recv (enc "reg" (hash "public" xr) a (privk a))) (send (enc (hash "public" xr) a (privk ca)))) ((recv (hash "key" (hash "share" xr xr) hint)) (send (hash "key" (hash "share" xr xr) hint))) ((recv (cat "key" (hash "share" xr xr) hint)) (send (cat "key" (hash "share" xr xr) hint)))) (label 12) (parent 8) (unrealized (4 0)) (comment "1 in cohort - 1 not yet seen")) (defskeleton nhca (vars (n text) (a ca a-0 b name) (xi xr rndx)) (defstrand init 5 (hint (hash "hint" (hash "share" xr xi))) (n n) (a a) (b b) (ca ca) (xi xi) (xr xr)) (defstrand ca 2 (subject a) (ca ca) (x xi)) (defstrand ca 2 (subject b) (ca ca) (x xr)) (defstrand resp 4 (n n) (a a-0) (b b) (ca ca) (xr xr) (xi xi)) (precedes ((0 0) (1 0)) ((0 0) (3 2)) ((1 1) (0 1)) ((2 1) (3 1)) ((3 0) (2 0)) ((3 3) (0 3))) (non-orig (privk a) (privk ca) (privk b)) (uniq-gen xi xr) (operation encryption-test (displaced 4 2 ca 2) (enc (hash "public" xr) b (privk ca-0)) (3 1)) (traces ((send (enc "reg" (hash "public" xi) a (privk a))) (recv (enc (hash "public" xi) a (privk ca))) (send 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xi) (hash "hint" (hash "share" xr xi)))) (enc n (hash "hint" (hash "share" xr xi)) (hash "key" (hash "share" xi xr) (hash "hint" (hash "share" xr xi)))))))) (label 13) (parent 9) (unrealized (3 2)) (comment "2 in cohort - 2 not yet seen")) (defskeleton nhca (vars (n text) (a ca a-0 b ca-0 name) (xi xr rndx)) (defstrand init 5 (hint (hash "hint" (hash "share" xr xi))) (n n) (a a) (b b) (ca ca) (xi xi) (xr xr)) (defstrand ca 2 (subject a) (ca ca) (x xi)) (defstrand ca 2 (subject b) (ca ca) (x xr)) (defstrand resp 4 (n n) (a a-0) (b b) (ca ca-0) (xr xr) (xi xi)) (defstrand ca 2 (subject b) (ca ca-0) (x xr)) (precedes ((0 0) (1 0)) ((0 0) (3 2)) ((1 1) (0 1)) ((2 1) (0 3)) ((3 0) (2 0)) ((3 0) (4 0)) ((3 3) (0 3)) ((4 1) (3 1))) (non-orig (privk a) (privk ca) (privk b) (privk ca-0)) (uniq-gen xi xr) (operation encryption-test (added-strand ca 2) (enc (hash "public" xr) b (privk ca-0)) (3 1)) (traces ((send (enc "reg" (hash "public" xi) a (privk a))) (recv (enc (hash "public" xi) a (privk 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4 (n n) (a a) (b b) (ca ca) (xr xr) (xi xr-0)) (defstrand ca 2 (subject a) (ca ca) (x xr-0)) (precedes ((0 0) (1 0)) ((0 0) (4 0)) ((1 1) (0 1)) ((2 1) (3 1)) ((3 0) (2 0)) ((3 3) (0 3)) ((4 1) (3 2))) (non-orig (privk a) (privk ca) (privk b)) (uniq-gen xr xr-0) (operation encryption-test (displaced 5 0 resp 1) (enc "reg" (hash "public" xr-0) a-0 (privk a-0)) (4 0)) (traces ((send (enc "reg" (hash "public" xr-0) a (privk a))) (recv (enc (hash "public" xr-0) a (privk ca))) (send (cat (hash "public" xr-0) (enc (hash "public" xr-0) a (privk ca)))) (recv (cat (hash "public" xr) (hash "hint" (hash "share" xr xr-0)) (enc (hash "public" xr) b (privk ca)) (enc n (hash "hint" (hash "share" xr xr-0)) (hash "key" (hash "share" xr-0 xr) (hash "hint" (hash "share" xr xr-0)))))) (send (cat (enc "check" n (hash "key" (hash "share" xr-0 xr) (hash "hint" (hash "share" xr xr-0)))) (enc "check" n (hash "key" (hash "share" xr xr-0) (hash "hint" (hash "share" xr xr-0))))))) ((recv (enc "reg" (hash "public" 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rndx)) (defstrand init 5 (hint (hash "hint" (hash "share" xr xr-0))) (n n) (a a) (b b) (ca ca) (xi xr-0) (xr xr)) (defstrand ca 2 (subject a) (ca ca) (x xr-0)) (defstrand ca 2 (subject b) (ca ca) (x xr)) (defstrand resp 4 (n n) (a a) (b b) (ca ca-0) (xr xr) (xi xr-0)) (defstrand ca 2 (subject b) (ca ca-0) (x xr)) (defstrand ca 2 (subject a) (ca ca-0) (x xr-0)) (precedes ((0 0) (1 0)) ((0 0) (5 0)) ((1 1) (0 1)) ((2 1) (0 3)) ((3 0) (2 0)) ((3 0) (4 0)) ((3 3) (0 3)) ((4 1) (3 1)) ((5 1) (3 2))) (non-orig (privk a) (privk ca) (privk b) (privk ca-0)) (uniq-gen xr xr-0) (operation encryption-test (displaced 6 0 resp 1) (enc "reg" (hash "public" xr-0) a-0 (privk a-0)) (5 0)) (traces ((send (enc "reg" (hash "public" xr-0) a (privk a))) (recv (enc (hash "public" xr-0) a (privk ca))) (send (cat (hash "public" xr-0) (enc (hash "public" xr-0) a (privk ca)))) (recv (cat (hash "public" xr) (hash "hint" (hash "share" xr xr-0)) (enc (hash "public" xr) b (privk ca)) (enc n (hash "hint" (hash "share" 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((recv (enc "reg" (hash "public" xr) b (privk b))) (send (enc (hash "public" xr) b (privk ca-0)))) ((recv (enc "reg" (hash "public" xr-0) a (privk a))) (send (enc (hash "public" xr-0) a (privk ca-0))))) (label 23) (parent 20) (unrealized) (shape) (maps ((0) ((xi xr-0) (xr xr) (a a) (b b) (ca ca) (n n) (hint (hash "hint" (hash "share" xr xr-0)))))) (origs)) (comment "Nothing left to do") (defprotocol nhca diffie-hellman (defrole init (vars (xi rndx) (xr expt) (a b ca name) (n text) (hint mesg)) (trace (send (enc "reg" (hash "public" xi) a (privk a))) (recv (enc (hash "public" xi) a (privk ca))) (send (cat (hash "public" xi) (enc (hash "public" xi) a (privk ca)))) (recv (cat (hash "public" xr) hint (enc (hash "public" xr) b (privk ca)) (enc n hint (hash "key" (hash "share" xi xr) hint)))) (send (cat (enc "check" n (hash "key" (hash "share" xi xr) hint)) (enc "check" n (hash "key" (hash "share" xr xi) hint))))) (non-orig (privk a) (privk ca)) (uniq-gen xi)) (defrole resp (vars (xr rndx) (xi expt) (a b ca name) (n text)) (trace (send (enc "reg" (hash "public" xr) b (privk b))) (recv (enc (hash "public" xr) b (privk ca))) (recv (cat (hash "public" xi) (enc (hash "public" xi) a (privk ca)))) (send (cat (hash "public" xr) (hash "hint" (hash "share" xr xi)) (enc (hash "public" xr) b (privk ca)) (enc n (hash "hint" (hash "share" xr xi)) (hash "key" (hash "share" xr xi) (hash "hint" (hash "share" xr xi)))) (enc n (hash "hint" (hash "share" xr xi)) (hash "key" (hash "share" xi xr) (hash "hint" (hash "share" xr xi)))))) (recv (enc "check" n (hash "key" (hash "share" xr xi) (hash "hint" (hash "share" xr xi)))))) (non-orig (privk b) (privk ca)) (uniq-gen xr)) (defrole ca (vars (subject ca name) (x expt)) (trace (recv (enc "reg" (hash "public" x) subject (privk subject))) (send (enc (hash "public" x) subject (privk ca)))) (non-orig (privk subject))) (comment A diffie-hellman exchange which uses a certificate authority to certify lonh-term NH values)) (defskeleton nhca (vars (n text) (a b ca name) (xr rndx) (xi expt)) (defstrand resp 5 (n n) (a a) (b b) (ca ca) (xr xr) (xi xi)) (non-orig (privk b) (privk ca)) (uniq-gen xr) (uniq-orig n) (comment Full responder point of view with freshly chosen n) (traces ((send (enc "reg" (hash "public" xr) b (privk b))) (recv (enc (hash "public" xr) b (privk ca))) (recv (cat (hash "public" xi) (enc (hash "public" xi) a (privk ca)))) (send (cat (hash "public" xr) (hash "hint" (hash "share" xr xi)) (enc (hash "public" xr) b (privk ca)) (enc n (hash "hint" (hash "share" xr xi)) (hash "key" (hash "share" xr xi) (hash "hint" (hash "share" xr xi)))) (enc n (hash "hint" (hash "share" xr xi)) (hash "key" (hash "share" xi xr) (hash "hint" (hash "share" xr xi)))))) (recv (enc "check" n (hash "key" (hash "share" xr xi) (hash "hint" (hash "share" xr xi))))))) (label 24) (unrealized (0 1) (0 2) (0 4)) (origs (n (0 3))) (comment "1 in cohort - 1 not yet seen")) (defskeleton nhca (vars (n text) (a b ca name) (xi expt) (xr rndx)) (defstrand 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"share" xr xr)))))) ((recv (enc "reg" (hash "public" xr) b (privk b))) (send (enc (hash "public" xr) b (privk ca))))) (label 26) (parent 25) (unrealized (0 4)) (comment "1 in cohort - 1 not yet seen")) (defskeleton nhca (vars (n text) (a b ca name) (xr rndx) (x expt)) (defstrand resp 5 (n n) (a a) (b b) (ca ca) (xr xr) (xi x)) (defstrand ca 2 (subject b) (ca ca) (x xr)) (defstrand ca 2 (subject a) (ca ca) (x x)) (precedes ((0 0) (1 0)) ((1 1) (0 1)) ((2 1) (0 2))) (non-orig (privk a) (privk b) (privk ca)) (uniq-gen xr) (uniq-orig n) (operation encryption-test (added-strand ca 2) (enc (hash "public" x) a (privk ca)) (0 2)) (traces ((send (enc "reg" (hash "public" xr) b (privk b))) (recv (enc (hash "public" xr) b (privk ca))) (recv (cat (hash "public" x) (enc (hash "public" x) a (privk ca)))) (send (cat (hash "public" xr) (hash "hint" (hash "share" xr x)) (enc (hash "public" xr) b (privk ca)) (enc n (hash "hint" (hash "share" xr x)) (hash "key" (hash "share" xr x) (hash "hint" (hash "share" xr x)))) (enc n (hash "hint" (hash "share" xr x)) (hash "key" (hash "share" x xr) (hash "hint" (hash "share" xr x)))))) (recv (enc "check" n (hash "key" (hash "share" xr x) (hash "hint" (hash "share" xr x)))))) ((recv (enc "reg" (hash "public" xr) b (privk b))) (send (enc (hash "public" xr) b (privk ca)))) ((recv (enc "reg" (hash "public" x) a (privk a))) (send (enc (hash "public" x) a (privk ca))))) (label 27) (parent 25) (unrealized (0 4) (2 0)) (comment "2 in cohort - 2 not yet seen")) (defskeleton nhca (vars (n text) (b ca name) (xr rndx)) (defstrand resp 5 (n n) (a b) (b b) (ca ca) (xr xr) (xi xr)) (defstrand ca 2 (subject b) (ca ca) (x xr)) (deflistener (hash "key" (hash "share" xr xr) (hash "hint" (hash "share" xr xr)))) (precedes ((0 0) (1 0)) ((0 0) (2 0)) ((1 1) (0 1)) ((2 1) (0 4))) (non-orig (privk b) (privk ca)) (uniq-gen xr) (uniq-orig n) (operation encryption-test (added-listener (hash "key" (hash "share" xr xr) (hash "hint" (hash "share" xr xr)))) (enc "check" n (hash "key" (hash "share" xr xr) (hash "hint" (hash "share" xr xr)))) (0 4)) (traces ((send (enc "reg" (hash "public" xr) b (privk b))) (recv (enc (hash "public" xr) b (privk ca))) (recv (cat (hash "public" xr) (enc (hash "public" xr) b (privk ca)))) (send (cat (hash "public" xr) (hash "hint" (hash "share" xr xr)) (enc (hash "public" xr) b (privk ca)) (enc n (hash "hint" (hash "share" xr xr)) (hash "key" (hash "share" xr xr) (hash "hint" (hash "share" xr xr)))) (enc n (hash "hint" (hash "share" xr xr)) (hash "key" (hash "share" xr xr) (hash "hint" (hash "share" xr xr)))))) (recv (enc "check" n (hash "key" (hash "share" xr xr) (hash "hint" (hash "share" xr xr)))))) ((recv (enc "reg" (hash "public" xr) b (privk b))) (send (enc (hash "public" xr) b (privk ca)))) ((recv (hash "key" (hash "share" xr xr) (hash "hint" (hash "share" xr xr)))) (send (hash "key" (hash "share" xr xr) (hash "hint" (hash "share" xr xr)))))) (label 28) (parent 26) (unrealized (2 0)) (comment "1 in cohort - 1 not yet 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xi xr) hint)))) (send (cat (enc "check" n (hash "key" (hash "share" xi xr) hint)) (enc "check" n (hash "key" (hash "share" xr xi) hint))))) (non-orig (privk a) (privk ca)) (uniq-gen xi)) (defrole resp (vars (xr rndx) (xi expt) (a b ca name) (n text)) (trace (send (enc "reg" (hash "public" xr) b (privk b))) (recv (enc (hash "public" xr) b (privk ca))) (recv (cat (hash "public" xi) (enc (hash "public" xi) a (privk ca)))) (send (cat (hash "public" xr) (hash "hint" (hash "share" xr xi)) (enc (hash "public" xr) b (privk ca)) (enc n (hash "key" (hash "share" xr xi) (hash "hint" (hash "share" xr xi)))) (enc n (hash "key" (hash "share" xi xr) (hash "hint" (hash "share" xr xi)))))) (recv (enc "check" n (hash "key" (hash "share" xr xi) (hash "hint" (hash "share" xr xi)))))) (non-orig (privk b) (privk ca)) (uniq-gen xr)) (defrole ca (vars (subject ca name) (x expt)) (trace (recv (enc "reg" (hash "public" x) subject (privk subject))) (send (enc (hash "public" x) subject (privk ca)))) (non-orig (privk subject))) (comment A diffie-hellman exchange which uses a certificate authority to certify lonh-term NH values)) (defskeleton nhca-nohint (vars (hint mesg) (n text) (a b ca name) (xi rndx) (xr expt)) (defstrand init 5 (hint hint) (n n) (a a) (b b) (ca ca) (xi xi) (xr xr)) (non-orig (privk a) (privk ca)) (uniq-gen xi) (comment Full initiator POV No need to make extra assumptions) (traces ((send (enc "reg" (hash "public" xi) a (privk a))) (recv (enc (hash "public" xi) a (privk ca))) (send (cat (hash "public" xi) (enc (hash "public" xi) a (privk ca)))) (recv (cat (hash "public" xr) hint (enc (hash "public" xr) b (privk ca)) (enc n (hash "key" (hash "share" xi xr) hint)))) (send (cat (enc "check" n (hash "key" (hash "share" xi xr) hint)) (enc "check" n (hash "key" (hash "share" xr xi) hint)))))) (label 200) (unrealized (0 1) (0 3)) (origs) (comment "1 in cohort - 1 not yet seen")) (defskeleton nhca-nohint (vars (hint mesg) (n text) (a b ca name) (xr expt) (xi rndx)) (defstrand init 5 (hint hint) (n n) (a a) (b b) (ca ca) (xi xi) (xr xr)) (defstrand ca 2 (subject a) (ca ca) (x xi)) (precedes ((0 0) (1 0)) ((1 1) (0 1))) (non-orig (privk a) (privk ca)) (uniq-gen xi) (operation encryption-test (added-strand ca 2) (enc (hash "public" xi) a (privk ca)) (0 1)) (traces ((send (enc "reg" (hash "public" xi) a (privk a))) (recv (enc (hash "public" xi) a (privk ca))) (send (cat (hash "public" xi) (enc (hash "public" xi) a (privk ca)))) (recv (cat (hash "public" xr) hint (enc (hash "public" xr) b (privk ca)) (enc n (hash "key" (hash "share" xi xr) hint)))) (send (cat (enc "check" n (hash "key" (hash "share" xi xr) hint)) (enc "check" n (hash "key" (hash "share" xr xi) hint))))) ((recv (enc "reg" (hash "public" xi) a (privk a))) (send (enc (hash "public" xi) a (privk ca))))) (label 201) (parent 200) (unrealized (0 3)) (comment "2 in cohort - 2 not yet seen")) (defskeleton nhca-nohint (vars (hint mesg) (n text) (a ca name) (xi rndx)) (defstrand init 5 (hint hint) (n n) (a a) (b a) (ca ca) (xi xi) (xr xi)) (defstrand ca 2 (subject a) (ca ca) (x xi)) (precedes ((0 0) (1 0)) ((1 1) (0 1))) (non-orig (privk a) (privk ca)) (uniq-gen xi) (operation encryption-test (displaced 2 1 ca 2) (enc (hash "public" x) b (privk ca)) (0 3)) (traces ((send (enc "reg" (hash "public" xi) a (privk a))) (recv (enc (hash "public" xi) a (privk ca))) (send (cat (hash "public" xi) (enc (hash "public" xi) a (privk ca)))) (recv (cat (hash "public" xi) hint (enc (hash "public" xi) a (privk ca)) (enc n (hash "key" (hash "share" xi xi) hint)))) (send (cat (enc "check" n (hash "key" (hash "share" xi xi) hint)) (enc "check" n (hash "key" (hash "share" xi xi) hint))))) ((recv (enc "reg" (hash "public" xi) a (privk a))) (send (enc (hash "public" xi) a (privk ca))))) (label 202) (parent 201) (unrealized (0 3)) (comment "1 in cohort - 1 not yet seen")) (defskeleton nhca-nohint (vars (hint mesg) (n text) (a b ca name) (xi rndx) (x expt)) (defstrand init 5 (hint hint) (n n) (a a) (b b) (ca ca) (xi xi) (xr x)) (defstrand ca 2 (subject a) (ca ca) (x xi)) (defstrand ca 2 (subject b) (ca ca) (x x)) (precedes ((0 0) (1 0)) ((1 1) (0 1)) ((2 1) (0 3))) (non-orig (privk a) (privk b) (privk ca)) (uniq-gen xi) (operation encryption-test (added-strand ca 2) (enc (hash "public" x) b (privk ca)) (0 3)) (traces ((send (enc "reg" (hash "public" xi) a (privk a))) (recv (enc (hash "public" xi) a (privk ca))) (send (cat (hash "public" xi) (enc (hash "public" xi) a (privk ca)))) (recv (cat (hash "public" x) hint (enc (hash "public" x) b (privk ca)) (enc n (hash "key" (hash "share" xi x) hint)))) (send (cat (enc "check" n (hash "key" (hash "share" xi x) hint)) (enc "check" n (hash "key" (hash "share" x xi) hint))))) ((recv (enc "reg" (hash "public" xi) a (privk a))) (send (enc (hash "public" xi) a (privk ca)))) ((recv (enc "reg" (hash "public" x) b (privk b))) (send (enc (hash "public" x) b (privk ca))))) (label 203) (parent 201) (unrealized (0 3) (2 0)) (comment "2 in cohort - 2 not yet seen")) (defskeleton nhca-nohint (vars (hint mesg) (n text) (a ca name) (xi rndx)) (defstrand init 5 (hint hint) (n n) (a a) (b a) (ca ca) (xi xi) (xr xi)) (defstrand ca 2 (subject a) (ca ca) (x xi)) (deflistener (hash "key" (hash "share" xi xi) hint)) (precedes ((0 0) (1 0)) ((0 0) (2 0)) ((1 1) (0 1)) ((2 1) (0 3))) (non-orig (privk a) (privk ca)) (uniq-gen xi) (operation encryption-test (added-listener (hash "key" (hash "share" xi xi) hint)) (enc n (hash "key" (hash "share" xi xi) hint)) (0 3)) (traces ((send (enc "reg" (hash "public" xi) a (privk a))) (recv (enc (hash "public" xi) a (privk ca))) (send (cat (hash "public" xi) (enc (hash "public" xi) a (privk ca)))) (recv (cat (hash "public" xi) hint (enc (hash "public" xi) a (privk ca)) (enc n (hash "key" (hash "share" xi xi) hint)))) (send (cat (enc "check" n (hash "key" (hash "share" xi xi) hint)) (enc "check" n (hash "key" (hash "share" xi xi) hint))))) ((recv (enc "reg" (hash "public" xi) a (privk a))) (send (enc (hash "public" xi) a (privk ca)))) ((recv (hash "key" (hash "share" xi xi) hint)) (send (hash "key" (hash "share" xi xi) hint)))) (label 204) (parent 202) (unrealized (2 0)) (comment "1 in cohort - 1 not yet seen")) (defskeleton nhca-nohint (vars (hint mesg) (n text) (a ca name) (xr rndx)) (defstrand init 5 (hint hint) (n n) (a a) (b a) (ca ca) (xi xr) (xr xr)) (defstrand ca 2 (subject a) (ca ca) (x xr)) (defstrand ca 2 (subject a) (ca ca) (x xr)) (precedes ((0 0) (1 0)) ((0 0) (2 0)) ((1 1) (0 1)) ((2 1) (0 3))) (non-orig (privk a) (privk ca)) (uniq-gen xr) (operation encryption-test (displaced 3 0 resp 1) (enc "reg" (hash "public" xr-0) b (privk b)) (2 0)) (traces ((send (enc "reg" (hash "public" xr) a (privk a))) (recv (enc (hash "public" xr) a (privk ca))) (send (cat (hash "public" xr) (enc (hash "public" xr) a (privk ca)))) (recv (cat (hash "public" xr) hint (enc (hash "public" xr) a (privk ca)) (enc n (hash "key" (hash "share" xr xr) hint)))) (send (cat (enc "check" n (hash "key" (hash "share" xr xr) hint)) (enc "check" n (hash "key" (hash "share" xr xr) hint))))) ((recv (enc "reg" (hash "public" xr) a (privk a))) (send (enc (hash "public" xr) a (privk ca)))) ((recv (enc "reg" (hash "public" xr) a (privk a))) (send (enc (hash "public" xr) a (privk ca))))) (label 205) (parent 203) (unrealized (0 3)) (comment "1 in cohort - 1 not yet seen")) (defskeleton nhca-nohint (vars (hint mesg) (n text) (a b ca name) (xi xr rndx)) (defstrand init 5 (hint hint) (n n) (a a) (b b) (ca ca) (xi xi) (xr xr)) (defstrand ca 2 (subject a) (ca ca) (x xi)) (defstrand ca 2 (subject b) (ca ca) (x xr)) (defstrand resp 1 (b b) (xr xr)) (precedes ((0 0) (1 0)) ((1 1) (0 1)) ((2 1) (0 3)) ((3 0) (2 0))) (non-orig (privk a) (privk b) (privk ca)) (uniq-gen xi xr) (operation encryption-test (added-strand resp 1) (enc "reg" (hash "public" xr) b (privk b)) (2 0)) (traces ((send (enc "reg" (hash "public" xi) a (privk a))) (recv (enc (hash "public" xi) a (privk ca))) (send (cat (hash "public" xi) (enc (hash "public" xi) a (privk ca)))) (recv (cat (hash "public" xr) hint (enc (hash "public" xr) b (privk ca)) (enc n (hash "key" (hash "share" xi xr) hint)))) (send (cat (enc "check" n (hash "key" (hash "share" xi xr) hint)) (enc "check" n (hash "key" (hash "share" xr xi) hint))))) ((recv (enc "reg" (hash "public" xi) a (privk a))) (send (enc (hash "public" xi) a (privk ca)))) ((recv (enc "reg" (hash "public" xr) b (privk b))) (send (enc (hash "public" xr) b (privk ca)))) ((send (enc "reg" (hash "public" xr) b (privk b))))) (label 206) (parent 203) (unrealized (0 3)) (comment "2 in cohort - 2 not yet seen")) (defskeleton nhca-nohint (vars (hint mesg) (n text) (a ca name) (xi rndx)) (defstrand init 5 (hint hint) (n n) (a a) (b a) (ca ca) (xi xi) (xr xi)) (defstrand ca 2 (subject a) (ca ca) (x xi)) (deflistener (hash "key" (hash "share" xi xi) hint)) (deflistener (cat "key" (hash "share" xi xi) hint)) (precedes ((0 0) (1 0)) ((0 0) (3 0)) ((1 1) (0 1)) ((2 1) (0 3)) ((3 1) (2 0))) (non-orig (privk a) (privk ca)) (uniq-gen xi) (operation encryption-test (added-listener (cat "key" (hash "share" xi xi) hint)) (hash "key" (hash "share" xi xi) hint) (2 0)) (traces ((send (enc "reg" (hash "public" xi) a (privk a))) (recv (enc (hash "public" xi) a (privk ca))) (send (cat (hash "public" xi) (enc (hash "public" xi) a (privk ca)))) (recv (cat (hash "public" xi) hint (enc (hash "public" xi) a (privk ca)) (enc n (hash "key" (hash "share" xi xi) hint)))) (send (cat (enc "check" n (hash "key" (hash "share" xi xi) hint)) (enc "check" n (hash "key" (hash "share" xi xi) hint))))) ((recv (enc "reg" (hash "public" xi) a (privk a))) (send (enc (hash "public" xi) a (privk ca)))) ((recv (hash "key" (hash "share" xi xi) hint)) (send (hash "key" (hash "share" xi xi) hint))) ((recv (cat "key" (hash "share" xi xi) hint)) (send (cat "key" (hash "share" xi xi) hint)))) (label 207) (parent 204) (unrealized (3 0)) (comment "1 in cohort - 1 not yet seen")) (defskeleton nhca-nohint (vars (hint mesg) (n text) (a ca name) (xr rndx)) (defstrand init 5 (hint hint) (n n) (a a) (b a) (ca ca) (xi xr) (xr xr)) (defstrand ca 2 (subject a) (ca ca) (x xr)) (defstrand ca 2 (subject a) (ca ca) (x xr)) (deflistener (hash "key" (hash "share" xr xr) hint)) (precedes ((0 0) (1 0)) ((0 0) (2 0)) ((0 0) (3 0)) ((1 1) (0 1)) ((2 1) (0 3)) ((3 1) (0 3))) (non-orig (privk a) (privk ca)) (uniq-gen xr) (operation encryption-test (added-listener (hash "key" (hash "share" xr xr) hint)) (enc n (hash "key" (hash "share" xr xr) hint)) (0 3)) (traces ((send (enc "reg" (hash "public" xr) a (privk a))) (recv (enc (hash "public" xr) a (privk ca))) (send (cat (hash "public" xr) (enc (hash "public" xr) a (privk ca)))) (recv (cat (hash "public" xr) hint (enc (hash "public" xr) a (privk ca)) (enc n (hash "key" (hash "share" xr xr) hint)))) (send (cat (enc "check" n (hash "key" (hash "share" xr xr) hint)) (enc "check" n (hash "key" (hash "share" xr xr) hint))))) ((recv (enc "reg" (hash "public" xr) a (privk a))) (send (enc (hash "public" xr) a (privk ca)))) ((recv (enc "reg" (hash "public" xr) a (privk a))) (send (enc (hash "public" xr) a (privk ca)))) ((recv (hash "key" (hash "share" xr xr) hint)) (send (hash "key" (hash "share" xr xr) hint)))) (label 208) (parent 205) (unrealized (3 0)) (comment "1 in cohort - 1 not yet seen")) (defskeleton nhca-nohint (vars (n text) (a ca a-0 b ca-0 name) (xi xr rndx)) (defstrand init 5 (hint (hash "hint" (hash "share" xr xi))) (n n) (a a) (b b) (ca ca) (xi xi) (xr xr)) (defstrand ca 2 (subject a) (ca ca) (x xi)) (defstrand ca 2 (subject b) (ca ca) (x xr)) (defstrand resp 4 (n n) (a a-0) (b b) (ca ca-0) (xr xr) (xi xi)) (precedes ((0 0) (1 0)) ((0 0) (3 2)) ((1 1) (0 1)) ((2 1) (0 3)) ((3 0) (2 0)) ((3 3) (0 3))) (non-orig (privk a) (privk ca) (privk b) (privk ca-0)) (uniq-gen xi xr) (operation encryption-test (displaced 3 4 resp 4) (enc n (hash "key" (hash "share" xi xr) (hash "hint" (hash "share" xr xi)))) (0 3)) (traces ((send (enc "reg" (hash "public" xi) a (privk a))) (recv (enc (hash "public" xi) a (privk ca))) (send (cat (hash "public" xi) (enc (hash "public" xi) a (privk ca)))) (recv (cat (hash "public" xr) (hash "hint" (hash "share" xr xi)) (enc (hash "public" xr) b (privk ca)) (enc n (hash "key" (hash "share" xi xr) (hash "hint" (hash "share" xr xi)))))) (send (cat (enc "check" n (hash "key" (hash "share" xi xr) (hash "hint" (hash "share" xr xi)))) (enc "check" n (hash "key" (hash "share" xr xi) (hash "hint" (hash "share" xr xi))))))) ((recv (enc "reg" (hash "public" xi) a (privk a))) (send (enc (hash "public" xi) a (privk ca)))) ((recv (enc "reg" (hash "public" xr) b (privk b))) (send (enc (hash "public" xr) b (privk ca)))) ((send (enc "reg" (hash "public" xr) b (privk b))) (recv (enc (hash "public" xr) b (privk ca-0))) (recv (cat (hash "public" xi) (enc (hash "public" xi) a-0 (privk ca-0)))) (send (cat (hash "public" xr) (hash "hint" (hash "share" xr xi)) (enc (hash "public" xr) b (privk ca-0)) (enc n (hash "key" (hash "share" xr xi) (hash "hint" (hash "share" xr xi)))) (enc n (hash "key" (hash "share" xi xr) (hash "hint" (hash "share" xr xi)))))))) (label 209) (parent 206) (unrealized (3 1) (3 2)) (comment "2 in cohort - 2 not yet seen")) (defskeleton nhca-nohint (vars (hint mesg) (n text) (a b ca name) (xi xr rndx)) (defstrand init 5 (hint hint) (n n) (a a) (b b) (ca ca) (xi xi) (xr xr)) (defstrand ca 2 (subject a) (ca ca) (x xi)) (defstrand ca 2 (subject b) (ca ca) (x xr)) (defstrand resp 1 (b b) (xr xr)) (deflistener (hash "key" (hash "share" xi xr) hint)) (precedes ((0 0) (1 0)) ((0 0) (4 0)) ((1 1) (0 1)) ((2 1) (0 3)) ((3 0) (2 0)) ((3 0) (4 0)) ((4 1) (0 3))) (non-orig (privk a) (privk b) (privk ca)) (uniq-gen xi xr) (operation encryption-test (added-listener (hash "key" (hash "share" xi xr) hint)) (enc n (hash "key" (hash "share" xi xr) hint)) (0 3)) (traces ((send (enc "reg" (hash "public" xi) a (privk a))) (recv (enc (hash "public" xi) a (privk ca))) (send (cat (hash "public" xi) (enc (hash "public" xi) a (privk ca)))) (recv (cat (hash "public" xr) hint (enc (hash "public" xr) b (privk ca)) (enc n (hash "key" (hash "share" xi xr) hint)))) (send (cat (enc "check" n (hash "key" (hash "share" xi xr) hint)) (enc "check" n (hash "key" (hash "share" xr xi) hint))))) ((recv (enc "reg" (hash "public" xi) a (privk a))) (send (enc (hash "public" xi) a (privk ca)))) ((recv (enc "reg" (hash "public" xr) b (privk b))) (send (enc (hash "public" xr) b (privk ca)))) ((send (enc "reg" (hash "public" xr) b (privk b)))) ((recv (hash "key" (hash "share" xi xr) hint)) (send (hash "key" (hash "share" xi xr) hint)))) (label 210) (parent 206) (unrealized (4 0)) (comment "1 in cohort - 1 not yet seen")) (defskeleton nhca-nohint (vars (hint mesg) (n text) (a ca name) (xi rndx)) (defstrand init 5 (hint hint) (n n) (a a) (b a) (ca ca) (xi xi) (xr xi)) (defstrand ca 2 (subject a) (ca ca) (x xi)) (deflistener (hash "key" (hash "share" xi xi) hint)) (deflistener (cat "key" (hash "share" xi xi) hint)) 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xr-0) hint)) (deflistener (cat "key" (hash "share" xi xr-0) hint)) (deflistener (cat "share" xi xr-0)) (precedes ((0 0) (7 0)) ((0 0) (11 0)) ((1 0) (2 0)) ((1 0) (6 0)) ((1 3) (0 3)) ((1 3) (4 3)) ((2 1) (1 1)) ((3 1) (1 2)) ((4 0) (3 0)) ((4 0) (5 0)) ((4 0) (8 0)) ((4 0) (11 0)) ((4 4) (1 4)) ((5 1) (4 1)) ((6 1) (4 3)) ((7 1) (0 1)) ((8 1) (0 3)) ((9 1) (0 3)) ((10 1) (9 0)) ((11 1) (10 0))) (non-orig (privk ca) (privk a) (privk ca-0)) (uniq-gen xr xi xr-0) (uniq-orig n) (operation encryption-test (added-listener (cat "share" xi xr-0)) (hash "share" xi xr-0) (10 0)) (traces ((send (enc "reg" (hash "public" xi) a (privk a))) (recv (enc (hash "public" xi) a (privk ca))) (send (cat (hash "public" xi) (enc (hash "public" xi) a (privk ca)))) (recv (cat (hash "public" xr-0) hint (enc (hash "public" xr-0) a (privk ca)) (enc n (hash "key" (hash "share" xi xr-0) hint)))) (send (cat (enc "check" n (hash "key" (hash "share" xi xr-0) hint)) (enc "check" n (hash "key" (hash "share" xr-0 xi) 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