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Resource Analysis driven by (Conditional) Termination Proofs

Published online by Cambridge University Press:  20 September 2019

ELVIRA ALBERT ,
MIQUEL BOFILL ,
CRISTINA BORRALLERAS ,
ENRIQUE MARTIN-MARTIN Open the ORCID record for ENRIQUE MARTIN-MARTIN [Opens in a new window]  and
ALBERT RUBIO
ELVIRA ALBERT
Affiliation:
DSIC, Complutense University of Madrid (UCM), E-28040 Madrid, Spain
MIQUEL BOFILL
Affiliation:
IMAE, University of Girona (UdG), E-17003 Girona, Spain
CRISTINA BORRALLERAS
Affiliation:
University of Vic - Central University of Catalonia (UVic-UCC), 08500 Vic (Barcelona), Spain
ENRIQUE MARTIN-MARTIN
Affiliation:
DSIC, Complutense University of Madrid (UCM), E-28040 Madrid, Spain
ALBERT RUBIO
Affiliation:
DSIC, Complutense University of Madrid (UCM), E-28040 Madrid, Spain
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Abstract

When programs feature a complex control flow, existing techniques for resource analysis produce cost relation systems (CRS) whose cost functions retain the complex flow of the program and, consequently, might not be solvable into closed-form upper bounds. This paper presents a novel approach to resource analysis that is driven by the result of a termination analysis. The fundamental idea is that the termination proof encapsulates the flows of the program which are relevant for the cost computation so that, by driving the generation of the CRS using the termination proof, we produce a linearly-bounded CRS (LB-CRS). A LB-CRS is composed of cost functions that are guaranteed to be locally bounded by linear ranking functions and thus greatly simplify the process of CRS solving. We have built a new resource analysis tool, named MaxCore, that is guided by the VeryMax termination analyzer and uses CoFloCo and PUBS as CRS solvers. Our experimental results on the set of benchmarks from the Complexity and Termination Competition 2019 for C Integer programs show that MaxCore outperforms all other resource analysis tools.

Keywords

resource analysistermination analysiscost relation systemsupper bounds
Type
Original Article
Information
Theory and Practice of Logic Programming , Volume 19 , Special Issue 5-6: 35th International Conference on Logic Programming , September 2019 , pp. 722 - 739
Copyright
© Cambridge University Press 2019 

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Footnotes

*

This work was funded partially by the Spanish MICINN/FEDER, UE projects RTI2018-094403-BC31, RTI2018-094403-B-C33 and RTI2018-095609-B-I00, the MINECO project TIN2015-69175-C4-2-R, the MINECO/FEDER, UE projects TIN2015-69175-C4-3-R and TIN2015-66293-R, and by the CM project S2018/TCS-4314.

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