### Table 3: Operational Semantics.

1995

"... In PAGE 4: ...an algorithm (based on uni cation) that derives a principal type.A rewriting semantics in the style of [3] (a convenient reformulation of structured operational semantics [12]) is given in Table3 . The semantics is given in two parts: the rst part de nes a collection of evaluation contexts, which specify the positions in which a redex can be reduced, and the second part speci es a collection of rules de ning a bi- nary relation ?!r for the reduction of redexes.... ..."

Cited by 40

### Table 2 Operational semantics.

"... In PAGE 9: ... value fl and it evolves in the system A0. Table2 depicts rules that define the operational semantics of SecSpaces; relation ! is the smallest one satisfying rules (1); : : : ; (7). Rules (1), (2) and (3) describe the three prefix operators out, in and rd, respectively.... ..."

### Table 1: Operational Semantics.

1998

"... In PAGE 4: ... The set of evaluation contexts is given by E ::= [ ] j (E e)r j (v E)r j (proji E)r j (inji E) j hE; ei j hv; Ei j (protectir E) j (case E of inj1(x) ) e1 j inj2(x) ) e2)r Note that this de nes a left-to-right, call-by-value, deterministic reduction strategy. The basic rules for the operational semantics appear in Table1 . In the rules, we use an operation for increasing the security properties on terms: given = (r; ir), ir0 is the security property (r t ir0; ir t ir0).... In PAGE 7: ... A state is a nite partial function from typed locations ls into values. The starting point of the operational semantics for the extended calculus is the collection of simple redex rules given previously in Table1 . Again we lift these rules to arbitrary terms via e ! e0 E[e] ! E[e0] where E is understood to be the extended de nition of contexts given above.... In PAGE 14: ...heorem A.5 (Subject Reduction) Suppose ; ` e : s and e ! e0. Then ; ` e0 : s. Proof: Note that e = E[e1], where e1 ! e2 via one of the rules in Table1 , and e0 = E[e2]. A simple induction on evaluation contexts, using Lemma A.... ..."

Cited by 192

### Table 3: Operational Semantics.

1995

"... In PAGE 4: ... It is not hard to see that every term has a unique typing deriva- tion, and that one may easily derive an algorithm (based on uni cation) that derives a principal type. A rewriting semantics in the style of [4] (a convenient reformulation of structured operational semantics [15]) is given in Table3 . The semantics is given in two parts: the rst part de nes a collection of evaluation contexts, which specify the positions in which a redex can be reduced, and the second part speci es a collection of rules de ning a bi- nary relation ?!red for the reduction of redexes.... ..."

Cited by 40

### Table 3: Operational Semantics.

1995

"... In PAGE 4: ... It is not hard to see that every term has a unique typing deriva- tion, and that one may easily derive an algorithm (based on uni cation) that derives a principal type. A rewriting semantics in the style of [4] (a convenient reformulation of structured operational semantics [15]) is given in Table3 . The semantics is given in two parts: the rst part de nes a collection of evaluation contexts, which specify the positions in which a redex can be reduced, and the second part speci es a collection of rules de ning a bi- nary relation ?!red for the reduction of redexes.... ..."

Cited by 40

### Table 3: Operational Semantics.

1998

"... In PAGE 4: ...ollow immediately from the form of the type system, e.g., one may easily construct an algorithm (based on uni cation) that derives a principal type, as in ML. A rewriting semantics in the style of [4] (a convenient reformulation of structured operational semantics [15]) is given in Table3 . The semantics is given in two parts: the rst part de nes a collection of evaluation contexts, which specify the positions in which a redex can be reduced, and the second part speci es a collection of rules de ning a binary relation ?!red for the reduction of redexes.... ..."

Cited by 1

### Table 2. Operational Semantics.

1999

"... In PAGE 18: ... Then, the desired judgement for the contractum is derived by the following instance of (search): ? ` e1 : ? ` lt;# pro t:hhn: ii ? ` amp; lt;# ? ` e1 - n : [ amp;=t](t ! ) (search): 2 4.4 Absence of Stuck States The reduction rules for the operational semantics given in Table2 (Section 2) can be used (almost) directly as the de nition of an interpreter for the untyped calculus. Run-time errors for this interpreter correspond to pattern-matching failures (i.... ..."

Cited by 9

### Table 2. Operational Semantics.

1999

"... In PAGE 18: ... Then, the desired judgement for the contractum is derived by the following instance of (search): ? ` e1 : ? ` lt;# pro t:hhn: ii ? ` amp; lt;# ? ` e1 - n : [ amp;=t](t ! ) (search): 2 4.4 Absence of Stuck States The reduction rules for the operational semantics given in Table2 (Section 2) can be used (almost) directly as the de nition of an interpreter for the untyped calculus. Run-time errors for this interpreter correspond to pattern-matching failures (i.... ..."

Cited by 9

### Table 1: Operational Semantics.

"... In PAGE 6: ... Since there can be only one hole in an evaluation context, it is clear that the semantics, at this level, is deterministic (even though the ) relation is not).The basic rules for the operational semantics appear in Table1 . These rules reduce simple redexes.... In PAGE 19: ... Then 0 is well-typed and ; `ic;ir e0 : s. Proof: Note that e = E[e1], where ( ; e1) ! ( 0; e2) via one of the rules in Table1 , and e0 = E[e2]. A simple induction on evaluation contexts, using Lemma A.... ..."

### Table 10 Operational semantics for

"... In PAGE 43: ... The resulting system is known as a G/G/1/1-queueing system. The compositional speci cation amounts to: Bu 0 := a:Bu 1 Bu i+1 := a:Bu i+2 + d:Bu i for i gt; 0 Arr := fj xF jg f xF g7!a:Arr Proc := d:fj yH jg f yHg7!c:Proc Sys := Arr jja (Bu 0 jjd Proc) Using the operational semantics of Table10 it can be shown that the semantics of the Sys-speci cation boils down to the stochastic automaton depicted in Fig. 10.... ..."