Theoretical Aspects of Computing – ICTAC 2016: 13th by Augusto Sampaio, Farn Wang

By Augusto Sampaio, Farn Wang

This publication constitutes the refereed court cases of the thirteenth overseas Colloquium on Theoretical elements of Computing, ICTAC 2016, held in Taipei, Taiwan, in October 2016.

The 23 revised complete papers awarded including brief papers, invited papers and one summary of an invited paper have been rigorously reviewed and chosen from 60 submissions. The papers are geared up in topical sections on software verification; layout, synthesis and checking out; calculi; standards; composition and transformation; automata; temporal logics; software and brief papers.

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Example text

Define VR (U(x)) = {x ∈ Rn : U(x) = 0} VC (U(x)) = {x ∈ Cn : U(x) = 0} to be the real algebraic variety and the complex algebraic variety defined by U(x) = 0, repectively. Theorem 1. Let Ω and F be defined as in (1). Given a Program P P (Ω, F (x)). Let M(x) be a vector consisting of m monomials in R[x]. Define H(x) = M(x) − M(F (x)). If the following conditions are satisfied, (a) VR (H(x)) = VR (F (x) − x), (b) H(Ω) is a convex set, then, Program P is non-terminating over the reals if and only if F (x) has at least one fixed point in Ω.

All experiments show a roughly similar sized or a smaller state space for the transformed programs than for their operational counterpart (up to a factor of ca. 3). One reason for this is certainly the encoding of the operational memory, which requires lots of auxiliary variables to model the store buffer and which is not necessary7 in the transformed programs. From our experiments, we can also observe a speedup of up to a magnitude and the results suggest that the speedup grows with the number of concurrent processes (see verification times for Arora queue and TML).

P is called globally decomposable if P is decomposable for every initial marking μ0 ∈ N k . Let RRα (P, μ0 ) = {cv(π) | π is an α-computation from μ0 for some α ∈ T ∗ }, and RRα (P) = {(μ0 , cv(π)) | π is an α-computation from μ0 for some α ∈ T ∗ }. , RRα (P)) is semilinear. Among various subclasses of PNs, conflict-free, persistent, normal, sinkless, weakly persistent, cyclic, and communication-free PNs can be shown to be decomposable. , αr } ⊆ T ∗ (for some r) such that every reachable marking of the PN is witnessed by an αi -computation, for some 1 ≤ i ≤ r.

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