Pith Number

pith:75J4HPOJ

pith:2026:75J4HPOJFINCR2UATHUMC4T4HO

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Craig-Lyndon Interpolation for the Logic of Here and There with a Variation of Mints' Sequent System

Christoph Wernhard

A variation of Maehara's method constructs Craig-Lyndon interpolants for the logic of here and there using a modified Mints sequent system.

arxiv:2601.04080 v4 · 2026-01-07 · cs.LO

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\pithnumber{75J4HPOJFINCR2UATHUMC4T4HO}

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Record completeness

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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 present a variation of Maehara's method to construct Craig-Lyndon interpolants for the three-valued propositional logic of here and there (HT), also known as Gödel's G3, a superintuitionistic logic of importance in logic programming.

C2weakest assumption

That the described variation of Mints' sequent system and the two-stage conversion process from preliminary to actual HT interpolant correctly yields valid Craig-Lyndon interpolants for arbitrary HT formulas.

C3one line summary

A two-stage adaptation of Maehara's method using a modified Mints sequent system constructs Craig-Lyndon interpolants directly for HT logic formulas.

Formal links

1 machine-checked theorem link

Receipt and verification

First computed	2026-07-17T01:20:42.287551Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ff53c3bdc92a1a28ea8099e8c1727c3bbec761692caa81cd37cac85164bfeb20

Aliases

arxiv: 2601.04080 · arxiv_version: 2601.04080v4 · doi: 10.48550/arxiv.2601.04080 · pith_short_12: 75J4HPOJFINC · pith_short_16: 75J4HPOJFINCR2UA · pith_short_8: 75J4HPOJ

Agent API

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/75J4HPOJFINCR2UATHUMC4T4HO \
  | 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: ff53c3bdc92a1a28ea8099e8c1727c3bbec761692caa81cd37cac85164bfeb20

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e484a743a183462acddb60a19d7ded13a689304b66446d19d5419d392e5c6125",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LO",
    "submitted_at": "2026-01-07T16:47:54Z",
    "title_canon_sha256": "c740cbd98676214e46856bf2a3dec964b100e44219bef372847c68c5f1525548"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2601.04080",
    "kind": "arxiv",
    "version": 4
  }
}