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  1. Proceedings of the 10th ASIC and 9th MKM international conference, and 17th Calculemus conference on Intelligent computer mathematics (AISC'10/MKM'10/Calculemus'10)
  2. How to correctly prune tropical trees
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The challenges of multivalued "Functions"
Some considerations on the usability of interactive provers
Against rigor
The dynamic dictionary of mathematical functions
Mechanized mathematics
Smart matching
A revisited perspective on symbolic mathematical computing and artificial intelligence
Formal proof of SCHUR conjugate function
Electronic geometry textbook: a geometric textbook knowledge management system
I-terms in ordered resolution and superposition calculi: retrieving lost completeness
Symbolic domain decomposition
An openmath content dictionary for tensor concepts
Structured formal development with quotient types in Isabelle/HOL
A formal quantifier elimination for algebraically closed fields
On duplication in mathematical repositories
Instantiation of SMT problems modulo integers
Computing in coq with infinite algebraic data structures
Adapting mathematical domain reasoners
On Krawtchouk transforms
Formally verified conditions for regularity of interval matrices
Integrating multiple sources to answer questions in algebraic topology
A mathematical model of the competition between acquired immunity and virus
Reducing expression size using rule-based integration
STEXIDE: an integrated development environment for STEX collections
Some notes upon "When does equal sat(T)?"
A unified formal description of arithmetic and set theoretical data types
Proofs, proofs, proofs, and proofs
How to correctly prune tropical trees
Dimensions of formality: a case study for MKM in software engineering
From matrix interpretations over the rationals to matrix interpretations over the naturals
Towards MKM in the large: modular representation and scalable software architecture
Automated reasoning and presentation support for formalizing mathematics in Mizar
The formulator MathML editor project: user-friendly authoring of content markup documents
Notations around the world: census and exploitation
Evidence algorithm and system for automated deduction: a retrospective view
On building a knowledge base for stability theory
Proviola: a tool for proof re-animation
A wiki for Mizar: motivation, considerations, and initial prototype

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How to correctly prune tropical trees

Content Provider ACM Digital Library
Author Saiu, Luca Loddo, Jean-Vincent
Abstract We present tropical games, a generalization of combinatorial min-max games based on tropical algebras. Our model breaks the traditional symmetry of rational zero-sum games where players have exactly opposed goals (min vs. max), is more widely applicable than min-max and also supports a form of pruning, despite it being less effective than α-β. Actually, min-max games may be seen as particular cases where both the game and its dual are tropical: when the dual of a tropical game is also tropical, the power of α-β is completely recovered. We formally develop the model and prove that the tropical pruning strategy is correct, then conclude by showing how the problem of approximated parsing can be modeled as a tropical game, profiting from pruning.
Starting Page 101
Ending Page 115
Page Count 15
ISBN 9783642141270
ISSN 03029743
Language English
Publisher Association for Computing Machinery (ACM)
Publisher Date 2010-07-05
Publisher Place Berlin, Heidelberg
Access Restriction Subscribed
Subject Keyword Alpha-beta pruning Parsing Rational game Tropical algebra Combinatorial game Rewriting Search Term Tropical game Logic
Content Type Text
Resource Type Article
Subject Theoretical Computer Science Computer Science
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