Table 2 Definition of code.
From: PIA-A secure and efficient identity authentication scheme in telemedicine via the PUF method
(*––channels––*) free c1:channel free c2:channel free Cug:channel[private] free Cgs:channel[private] (*––session keys––*) free sku:bitstring[private] free sks:bitstring[private] (*––secret keys––*) free PW:bitstring[private] free BIO:bitstring[private] free x:bitstring[private] free y:bitstring[private] (*–-weak elements–-*) weaksecret PW weaksecret BIO (*––-constants–––*) const P:bitstring.(*parameters of dot multiplication*) const SID:bitstring[private] table d(bitstring,bitstring,bitstring,bitstring) table d1 (bitstring,bitstring) (*–––functions–––*) fun PUF(bitstring):bitstring[private] fun PUF1(bitstring):bitstring[private] fun h(bitstring):bitstring. (*hash function*) fun con(bitstring,bitstring):bitstring fun xor(bitstring,bitstring):bitstring fun mul(bitstring,bitstring):bitstring event beginSG(bitstring) | fun BioHashing(bitstring):bitstring fun enc(bitstring,bitstring):bitstring fun dec(bitstring,bitstring):bitstring equation forall message:bitstring,key:bitstring; dec(enc(message,key),key) = message equation forall m:bitstring,n:bitstring;xor(xor(m,n),n) = m equation forall m:bitstring,n:bitstring; mul(mul(P,m),n) = mul(mul(P,n),m) event beginUG(bitstring) event endUG(bitstring) event beginGU(bitstring) event endGU(bitstring) event beginGS(bitstring) event endGS(bitstring) fun BioHashing(bitstring):bitstring fun enc(bitstring,bitstring):bitstring fun dec(bitstring,bitstring):bitstring event endSG(bitstring) query x: bitstring; inj-event(endUG(x)) = = > injevent(beginUG(x)) query x: bitstring; inj-event(endGU(x)) = = > inj-event(beginGU(x)) query x: bitstring; inj-event(endGS(x)) = = > inj-event(beginGS(x)) query x: bitstring; inj-event(endSG(x)) = = > inj-event(beginSG(x)) (*-queries-*) query attacker(sku) query attacker(sks) |
