## Volume XXIV, Issue 2, 2014

**Theoretical Aspects of Computing**, pages 173-176

**DOI:** 10.7561/SACS.2014.2.173

[1] Gabriel Ciobanu and Dominique Méry (Editors). Proceedings of the 11th International Colloquium on Theoretical Aspects of Computing (ICTAC 2014), volume 8687 of Lecture Notes in Computer Science, Springer, 2014. http://dx.doi.org/10.1007/978-3-319-10882-7 .

**Probabilistic Recursion Theory and Implicit Computational Complexity**, pages 177-216

**Keywords:** probabilistic recursion theory, implicit computational complexity, probabilistic Turing machines

**DOI:** 10.7561/SACS.2014.2.177

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**Rely-Guarantee Based Reasoning for Message-Passing Programs**, pages 217-252

**Keywords:** trace semantics, message passing, rely guarantee

**DOI:** 10.7561/SACS.2014.2.217

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[22] Ian Wehrman, C. A. R. Hoare, and Peter W. O’Hearn. Graphical models of separation logic. Information Processing Letters, 109(17):1001–1004, 2009. http://dx.doi.org/10.1016/j.ipl.2009.06.003 .

**Learning Cover Context-Free Grammars from Structural Data**, pages 253-286

*cover context-free grammar*(CCFG) with respect to ℓ, that is, a CFG whose structural descriptions with depth at most ℓ agree with those of the unknown CFG. We propose an algorithm, called

*LA*

^{ℓ}, that efficiently learns a CCFG using two types of queries: structural equivalence and structural membership. The learning proto- col is based on what is called in the literature a "minimally adequate teacher." We show that

*LA*

^{ℓ}runs in time polynomial in the number of states of a minimal deterministic finite cover tree automaton (DCTA) with respect to ℓ. This number is often much smaller than the number of states of a minimum deterministic finite tree automaton for the structural descriptions of the unknown grammar.

**Keywords:** automata theory and formal languages, grammatical inference, structural descriptions

**DOI:** 10.7561/SACS.2014.2.253

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**Arithmetic and Boolean Operations on Recursively Run-Length Compressed Natural Numbers**, pages 287-323

*recursively run-length compressed*natural numbers, defined by applying recursively a run-length encoding of their binary digits. We design arithmetic and boolean operations with recursively run- length compressed natural numbers that work a block of digits at a time and are limited only by the representation complexity of their operands, rather than their bitsizes. As a result, operations on very large numbers exhibiting a regular structure become tractable. In addition, we ensure that the average complexity of our operations is still within constant factors of the usual arithmetic operations on binary numbers. Arithmetic operations on our recursively run-length compressed are specified as pattern-directed recursive equations made executable by using a purely declarative subset of the functional language Haskell.

**Keywords:** run-length compressed numbers, hereditary numbering systems, arithmetic algorithms for giant numbers, representation com- plexity of natural numbers

**DOI:** 10.7561/SACS.2014.2.287

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**Modeling Simply-Typed Lambda Calculi in the Category of Finite Vector Spaces**, pages 325-368

**Keywords:** Finite vector spaces, finite sets, algebraic lambda-calculus, Kleisli category, Eilenberg-Moore category.

**DOI:** 10.7561/SACS.2014.2.325

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