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Table 1: Explicit substitutions

in Extending Single Assertion Specification Approach Nondeterministic Programs; Total Correctness
by Andrzej M. Borzyszkowski
"... In PAGE 32: ...p sat? a0 a ` a0 p sat? a (Skip?) skip sat? (Assignment?) X := e sat? [e=X] (Sequential?) p1 sat? a1 p2 sat? a2 p1; p2 sat? a1[a2= ] (Precondition?) p sat? a b!p sat? a _ :b (Choice?) gc1 sat? a1 gc2 sat? a2 gc1 [] gc2 sat? a1 ^ a2 (Alternative?) gc sat? a if gc sat? a (Repetitive?) gc sat? a0 X 2= loc(a0) G(gc) ^ a ` a0[a= ] G(gc) ^ a ^ e = X ` a0[e lt; X= ] :G(gc) ^ a ` a ` e 0 do gc od sat? a Table1 0: Inference system for total correctness (termination) of the nonde- terministic choice language... In PAGE 33: ...assertions is the same as in table 3 CF[[X := e]] 4 = [X7!E[[e]]] [ fhF; Fig CF[[skip]] 4 = 1State [ fhF; Fig CF[[p1; p2]] 4 = CF[[p2]] CF[[p1]] CF[[if gc ]] 4 = CF[[gc]] [ (State fFg) (B[[:G(gc)]]) CF[[do gc od]] 4 = `fp ( f) (f CF[[gc]] (B[[G(gc)]]) [ (B[[:G(gc)]]) [ fhF; Fig) with respect to the standard set-theoretic order on relations CF[[b!p]] 4 = CF[[p]] (B[[b]]) [ fhF; Fig CF[[gc1 [] gc2]] 4 = CF[[gc1]] [ CF[[gc2]] [[a ` a0]] 4 = (8 ) A[[a]] A[[a0]] [[p satF a]] 4 = (8 ) CF[[p]]R(A[[a]] ) Table1 1: Semantics of the nondeterministic choice language|total correct- ness for lack of failures... In PAGE 34: ...p satF a0 a ` a0 p satF a (SkipF ) skip satF (AssignmentF ) X := e satF [e=X] (SequentialF ) p1 satF a1 p2 satF a2 p1; p2 satF a1[a2= ] (PreconditionF) p satF a b!p satF a _ :b (ChoiceF ) gc1 satF a1 gc2 satF a2 gc1 [] gc2 satF a1 ^ a2 (AlternativeF ) gc satF a a ` G(gc) if gc satF a (RepetitiveF ) gc satF a0 G(gc) ^ a ` a0[a= ] :G(gc) ^ a ` do gc od satF a Table1 2: Inference system for total correctness (lack of failures) of the nondeterministic choice language... ..."

Table 5. Calculi for Network-Aware Programming: An Assessment

in 1 Overview Calculi for Network Aware Programming (Extended Abstract)
by Gianluigi Ferrari, Rosario Pugliese, Emilio Tuosto
"... In PAGE 5: ... The implementation consists of a translation of ambi- ents in JoCaml. Table5 summarizes our evaluation (we refer to the full paper for more details). References [1] L.... ..."

Table 2.1: Theoretical properties As explained in the introduction, all these calculi are \a priori quot; good candidates for e cient implementations of a functional language for instance. But as far as we know, no work has been done concerning this practical aspect ([Bor95] implements for a higher-order uni cation algorithm described in [DHK95], but he does not deal with the e ciency of the system). So we want to compare some calculi with regard to their time e ciency when considered as reduction machineries. Our aim is then to add new columns to the previous table instead of new lines.

in An Efficiency Comparison Between Different Explicit Substitutions Calculi.
by Eric Deplagne

Table 4: Time for PDB Construction and Explicit Search in Blocks World.

in Symbolic Pattern Databases in Heuristic Search Planning
by Stefan Edelkamp
"... In PAGE 6: ... We also observe that the peak node count for the is also established earlier then the peak state count. Explicit Search Table4 compares the CPU times1 of explicit and sym- bolic PDB construction with the exploration time in explicit 1Most of the experiments were run on a Sun UltraSparc Work- station with 248 MHz. Since exact running-times reflect too many issues of the current implementation, for the interpretation of re- sults we are mainly interested in comparing performance growth.... ..."

Table 7: Calculi and Equivalences

in On Asynchrony in Name-Passing Calculi
by Massimo Merro, Davide Sangiorgi 1998
Cited by 79

Table 1: Performance compared to explicit method

in Boolean Compilation of Relational Specifications
by Daniel Jackson 1997
"... In PAGE 30: ... Table1 is to be interpreted as follows. The column marked Cases gives the number of clauses in the DNF representation of the claim; Formulae gives the maximum number of relational formulae in each clause.... ..."
Cited by 2

Table 1: Performance compared to explicit method

in Boolean Compilation of Relational Specifications
by Daniel Jackson 1997
"... In PAGE 30: ... Table1 is to be interpreted as follows. The column marked Cases gives the number of clauses in the DNF representation of the claim; Formulae gives the maximum number of relational formulae in each clause.... ..."
Cited by 2

Table 1: Performance compared to explicit method

in Boolean compilation of relational specifications
by Daniel Jackson 1997
"... In PAGE 30: ... Table1 is to be interpreted as follows. The column marked Cases gives the number of clauses in the DNF representation of the claim; Formulae gives the maximum number of relational formulae in each clause.... ..."
Cited by 2

Tableau Calculi for KLM Logics:

in Tableau Calculi for KLM Logics: extended version
by Laura Giordano, Valentina Gliozzi, Nicola Olivetti, Gian Luca Pozzato 2007

Table 3: Performance of Migration by Substitution

in Higher-order Distributed Computation over Autonomous Persistent Stores
by Miguel Mira da Silva, Miguel Mira, Malcolm Atkinson
"... In PAGE 14: ...3.1 Performance Table3 shows an experiment with migration by substitution. The experiment was conducted to compare the transfer times of various data structures with and without the substitution a orded by the new version of Napier/RPC.... ..."
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