Pith Number

pith:WSFJUP5Z

pith:2026:WSFJUP5ZWQBGQJWOHE44KDF6QQ

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Paraconsistent Semantics for Extended Fuzzy Logic Programs via Approximation Fixpoint Theory [Extended Version]

Hannes Strass, Jeroen Spaans, Jesse Heyninck, Pascal Kettmann

Approximating fixpoint theory defines paraconsistent semantics for fuzzy logic programs containing both negation as failure and strong negation.

arxiv:2605.05286 v2 · 2026-05-06 · cs.LO

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\usepackage{pith}
\pithnumber{WSFJUP5ZWQBGQJWOHE44KDF6QQ}

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3 Author claim open · sign in to claim

4 Citations open

5 Replications open

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The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Claims

C1strongest claim

we use the framework of approximating fixpoint theory to formulate well-behaved semantics for fuzzy logic programs containing both 'by-failure' and strong negation. We show that this framework generalizes several existing semantics as well as giving rise to a host of new semantics.

C2weakest assumption

That approximation fixpoint theory can be directly applied to fuzzy logic programs with both kinds of negation while ensuring the resulting semantics are well-behaved and paraconsistent without additional unstated restrictions.

C3one line summary

Paraconsistent semantics for fuzzy logic programs containing both negation as failure and strong negation are formulated using approximation fixpoint theory, generalizing prior semantics and yielding new ones.

Receipt and verification

First computed	2026-05-25T02:02:16.303878Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b48a9a3fb9b4026826ce3939c50cbe843fea20278ca7700313c92b0c4f120f5f

Aliases

arxiv: 2605.05286 · arxiv_version: 2605.05286v2 · doi: 10.48550/arxiv.2605.05286 · pith_short_12: WSFJUP5ZWQBG · pith_short_16: WSFJUP5ZWQBGQJWO · pith_short_8: WSFJUP5Z

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/WSFJUP5ZWQBGQJWOHE44KDF6QQ \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: b48a9a3fb9b4026826ce3939c50cbe843fea20278ca7700313c92b0c4f120f5f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cda8591e4b593d66ac3c849aeecfe170c0a127d5e4d6c0326df35d911c9fdbc9",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "cs.LO",
    "submitted_at": "2026-05-06T17:55:28Z",
    "title_canon_sha256": "05ac1a7188eb7185baa2eab81ad51e9494a43855a13c424aec50d843107ff26a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.05286",
    "kind": "arxiv",
    "version": 2
  }
}