By Gopalan Nadathur (auth.), Herbert Kuchen, Kazunori Ueda (eds.)
This publication constitutes the refereed complaints of the fifth foreign Symposium on sensible and common sense Programming, FLOPS 2001, held in Tokyo, Japan in March 2001.
The 21 revised complete papers provided including 3 invited papers have been conscientiously reviewed and chosen from forty submissions. The booklet deals topical sections on practical programming, good judgment programming, practical common sense programming, varieties, software research and transformation, and Lambda calculus.
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Trust revision thought and philosophy of technology either aspire to make clear the dynamics of data – on how our view of the area alterations (typically) within the gentle of recent proof. but those components of analysis have lengthy appeared surprisingly indifferent from one another, as witnessed by way of the small variety of cross-references and researchers operating in either domain names.
CHAPTER ONE. fundamentals FROM ALGEBRA AND TOPOLOGY
1. 1 Set Theory
1. 2 a few standard Algebraic Structures
1. three Algebras in General
1. four Topological Spaces
1. five Semimetric and Semiuniform Spaces
1. 6 Completeness and the Canonical Completion
CHAPTER . different types, DEFINITIONS, AND EXAMPLES
2. 1 Concrete and normal Categories
2. 2 Subcategories and Quotient Categories
2. three items and Coproducts of Categories
2. four the twin class and Duality of Properties
2. five Arrow type and Comma different types over a Category
CHAPTER 3. amazing MORPHISMS AND OBJECTS
three. 1 distinct Morphisms
three. 2 exotic Objects
three. three Equalizers and Coequalizers
three. four consistent Morphisms and Pointed Categories
three. five Separators and Coseparators
CHAPTER 4. varieties of FUNCTORS
four. 1 complete, devoted, Dense, Embedding Functors
four. 2 mirrored image and maintenance of specific Properties
four. three The Feeble Functor and opposite Quotient Functor
CHAPTER 5. typical variations AND EQUIVALENCES
five. 1 traditional changes and Their Compositions
five. 2 Equivalence of different types and Skeletons
five. three Functor Categories
five. four common adjustments for Feeble Functors
CHAPTER SIX. LIMITS, COLIMITS, COMPLETENESS, COCOMPLETENESS
6. 1 Predecessors and boundaries of a Functor
6. 2 Successors and Colimits of a Functor
6. three Factorizations of Morphisms
6. four Completeness
CHAPTER SEVEN. ADJOINT FUNCTORS
7. 1 the trail Category
7. 2 Adjointness
7. three Near-equivalence and Adjointness
7. four Composing and Resolving Shortest Paths or Adjoints
7. five Adjoint Functor Theorems
7. 6 Examples of Adjoints
7. 7 Monads
7. eight vulnerable Adjoints
APPENDIX ONE. SEMIUNIFORM, BITOPOLOGICAL, AND PREORDERED ALGEBRAS
APPENDIX . ALGEBRAIC FUNCTORS
APPENDIX 3. TOPOLOGICAL FUNCTORS
The current e-book is the 1st monograph ever with a relevant specialize in the evidence conception of paraconsistent logics within the region of the four-valued, confident paraconsistent common sense N4 via David Nelson. the amount brings jointly a couple of papers the authors have written individually or together on quite a few structures of inconsistency-tolerant good judgment.
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Extra info for Functional and Logic Programming: 5th International Symposium, FLOPS 2001 Tokyo, Japan, March 7–9, 2001 Proceedings
The description of PCC so far has been in abstract terms without referring to a particular form of safety explanations. There are a number of possible forms of explanations each with its own advantages and disadvantages. In any implementation the safety explanations must be precise and comprehensive, just like formal proofs. In fact, in the first realization of a PCC architecture [Nec98] the explanations were precisely formal proofs represented as terms in a variant of the dependently-typed λ-calculus called the Edinburgh Logical Framework (LF) [HHP93].
It is obvious that this safety policy is tailored to our example and thus is not very general. To alleviate this problem we allow the host to define a language of types along with their meaning and the agent to customize the safety policy by declaring the type of the arguments that it expects and the type of the return value. This constitutes the interface of the agent and in our system is expressed as a pair of a function precondition and postcondition formulas constructed by the code producer using a number of type constructors defined by the host’s safety policy.
One interesting observation is that while LFi checking is faster than oracle checking, it also uses a lot more memory. While oracles can be consumed a few bits at a time, the LFi syntactic representation of a proof must be entirely brought in memory for checking. While we have not measured precisely the memory usage we encountered examples whose oracles can be checked using less than 1Mbyte of memory while the checking of the corresponding LFi terms could not be performed even with 1Gbyte of virtual memory.
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